Part 1 | Test 2 | Time: 1 hour |
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- If and
*g*(*x*)=*x*-1, let*h*(*x*)=*f*(*g*(*x*)).- Find
*h*(*x*). - What is the domain of
*h*(*x*)? - Find
*h*(2) and*h*(0).

**Answers:**The function , with interval of domain .*h*(2)=1, and*h*(0) is undefined. - Find
- Let
*A*=(3,1),*B*=(7,-4) and*C*=(10,9).- Find an equation of the line passing through the points
*A*and*B*. - Find an equation of the line parallel to the line in the first part that passes through the point
*C*. - Find an equation of the line perpendicular to the line in the first part that passes through the point
*B*.

**Answers:**An equation for the first line isfor the second line

and for the third line

- Find an equation of the line passing through the points
- What is the vertex of the graph of the parabola ?
Also: Describe how you would translate the graph so that the vertex is moved to the origin.

**Answers:**The vertex is located at . To move the vertex to the origin, you have to shift up by units and to the left by units. -
- Solve the equation .
- Solve the inequality . Express your answer in interval form.

**Answers:**The equation has the solutions*x*=0,*x*=-1 and*x*=4. The inequality has at its solution set the union of the intervals and . - A chemist mixes a 12% hydrochloric acid solution with a 5% hydrochloric acid solution. How many milliliters of each solution should the chemist use to make a 500 ml liter solution that is 8% hydrochloric acid?

**Answer:**The exact answer is ml of the 12% solution and ml of the 5% solution. The approximate answer is 214.29 ml of the 12% solution and 285.71 ml of the 5% solution.

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